How many atoms in total are present in 1 kg of sugar?

Question

How many atoms in total are present in 1 kg of sugar? (A) 7.92×1025 atoms (B) 6×1023 atoms (C) 6.022×1025 atoms (D) 1000 atoms

Tardigrade Admin · Accepted Answer

One molecule of sugar (C12H22O11) = 45 atoms Number of moles of sugar = (1000/342) = 2.92 Number of molecules = 2.92 × 6.023× 1023 = 17.60× 1023 molecules Number of atoms = 45 × 17.60 × 1023 = 7.92 × 1025 atoms

Q. How many atoms in total are present in $1 k g$ of sugar?

$7.92 \times 1 0^{25}$ atoms

$6 \times 1 0^{23}$ atoms

$6.022 \times 1 0^{25}$ atoms

$1000$ atoms

One molecule of sugar $(C_{12} H_{22} O_{11}) = 45$ atoms
Number of moles of sugar $= \frac{1000}{342} = 2.92$
Number of molecules $= 2.92 \times 6.023 \times 1 0^{23}$
$= 17.60 \times 1 0^{23}$ molecules
Number of atoms $= 45 \times 17.60 \times 1 0^{23}$
$= 7.92 \times 1 0^{25}$ atoms

Q. How many atoms in total are present in 1kg of sugar?

7.92×1025 atoms

6×1023 atoms

6.022×1025 atoms

1000 atoms